Journal of Mathematical Sciences: Advances and Applications
Volume 66, 2021, Pages 1-19
Available at http://scientificadvances.co.in
DOI: http://dx.doi.org/10.18642/jmsaa_7100122195
SCHUR-CONVEXITY OF A CLASS OF
ELEMENTARY SYMMETRIC COMPOSITE FUNCTIONS
HUAN-NAN SHI1, TAO ZHANG and BO-YAN XI
Abstract:In this paper, using the properties of Schur-convex function, Schurgeometrically
convex function and Schur-harmonically convex function, we provide much simpler proofs of the Schur-convexity, Schur-geometric convexity on and Schur-harmonic convexity on for a composite function of the elementary symmetric functions.
Keywords and phrases: Schur-convesxity, Schur-geometric convexity, Schur-harmonic
convexity, elementary symmetric function.
2020 Mathematics Subject Classification: 26E60, 26D16, 26A51.
Schur-convexity of a class of elementary symmetric composite functions(Shi-Zhang-Xi).pdf
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